Back to Search Start Over

Ranks of partitions modulo 10.

Authors :
Mao, Renrong
Source :
Journal of Number Theory. Nov2013, Vol. 133 Issue 11, p3678-3702. 25p.
Publication Year :
2013

Abstract

Abstract: In 1954, A.O.L. Atkin and H.P.F. Swinnerton-Dyer established the generating functions for rank differences modulo 5 and 7 for partition functions. In this paper, we derive formulas for the generating functions of ranks of partitions modulo 10 and some inequalities between them. [Copyright &y& Elsevier]

Subjects

Subjects :
*PARTITIONS (Mathematics)
*MODULAR fields (Algebra)
*MATHEMATICAL functions
*MATHEMATICAL formulas
*MATHEMATICAL inequalities
*MATHEMATICAL analysis

Details

Language :
English
ISSN :
0022314X
Volume :
133
Issue :
11
Database :
Academic Search Index
Journal :
Journal of Number Theory
Publication Type :
Academic Journal
Accession number :
89579344
Full Text :
https://doi.org/10.1016/j.jnt.2013.05.014
Full Text Access
View/download PDF

Tools

Authors Abstract Subjects Details